scholarly journals Mixed volumes and the Bochner method

2019 ◽  
Vol 147 (12) ◽  
pp. 5385-5402 ◽  
Author(s):  
Yair Shenfeld ◽  
Ramon van Handel
Keyword(s):  
Mixed Volumes

scholarly journals Symmetrization with respect to mixed volumes

2021 ◽  
Vol 388 ◽  
pp. 107887
Author(s):  
Francesco Della Pietra ◽  
Nunzia Gavitone ◽  
Chao Xia
Keyword(s):  
Mixed Volumes

Densities of mixed volumes for Boolean models

2001 ◽  
Vol 33 (1) ◽  
pp. 39-60 ◽  
Author(s):  
Wolfgang Weil
Keyword(s):  
Dimensional Space ◽  
Boolean Model ◽  
Boolean Models ◽  
Mixed Volumes ◽  
Explicit Formulae

In generalization of the well-known formulae for quermass densities of stationary and isotropic Boolean models, we prove corresponding results for densities of mixed volumes in the stationary situation and show how they can be used to determine the intensity of non-isotropic Boolean models Z in d-dimensional space for d = 2, 3, 4. We then consider non-stationary Boolean models and extend results of Fallert on quermass densities to densities of mixed volumes. In particular, we present explicit formulae for a planar inhomogeneous Boolean model with circular grains.

scholarly journals Gaussian Processes and Mixed Volumes

1987 ◽  
Vol 15 (1) ◽  
pp. 292-304 ◽  
Author(s):  
V. D. Milman ◽  
G. Pisier
Keyword(s):  
Gaussian Processes ◽  
Mixed Volumes

scholarly journals Dual mixed volumes and the slicing problem

2006 ◽  
Vol 207 (2) ◽  
pp. 566-598 ◽  
Author(s):  
Emanuel Milman
Keyword(s):  
Mixed Volumes ◽  
Dual Mixed Volumes

Mixed Volumes

2019 ◽  
pp. 279-297
Author(s):  
Horst Martini ◽  
Luis Montejano ◽  
Déborah Oliveros
Keyword(s):  
Mixed Volumes

scholarly journals Bézout-Type Inequality in Convex Geometry

2017 ◽  
Vol 2019 (16) ◽  
pp. 4950-4965 ◽  
Author(s):  
Jian Xiao
Keyword(s):  
Complex Geometry ◽  
Convex Geometry ◽  
Convex Bodies ◽  
Type Inequality ◽  
Mixed Volumes

Abstract Inspired by a result of Soprunov and Zvavitch, we present a Bézout type inequality for mixed volumes, which holds true for any convex bodies and improves the previous result. The key ingredient is the reverse Khovanskii–Teissier inequality for convex bodies, which was obtained in our previous work and inspired by its correspondence in complex geometry.

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